@article{Sasaki2025, 
author = {Takiko Sasaki and Kerun Shao and Hiroyuki Takamura},
title = {Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {16796-16803},
keywords = {nonlinear wave equation, blow-up, critical power, ordinary differential inequality, lifespan, slicing method},
url = {https://www.sciopen.com/article/10.3934/math.2025754},
doi = {10.3934/math.2025754},
abstract = {This paper is devoted to a simple and short proof on the sharp upper bound of lifespan of classical solutions to wave equations with the critical power nonlinearities of spatial derivatives of the unknown function. Such a proof is so-called "slicing method", which may help us to extend the result for various equations and systems.}
}